Is There a Way to Perform a 2D Image Rotation by Matrix Multiplication?

1. Is it possible to make 2D image rotation using matrix multiplication?
2. How do you find a 2D rotation matrix?

Is it possible to make 2D image rotation using matrix multiplication?

If you turn it into a vector in R(MN) and create a matrix which is (MN)×(MN) by multiplication and rearranging the vector from the multiplication result you can reposition any pixels where ever you want.

How do you find a 2D rotation matrix?

To find the rotation of a vector we simply multiply the required rotation matrix with the coordinates of the given vector. In 2D space, this is given by ⎡⎢⎣x′y′⎤⎥⎦ [ x ′ y ′ ] = ⎡⎢⎣cosθ−sinθsinθcosθ⎤⎥⎦ [ c o s θ − s i n θ s i n θ c o s θ ] ⎡⎢⎣xy⎤⎥⎦ [ x y ] .